LCM of 478, 793, 924, 158
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 478, 793, 924, 158 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 478, 793, 924, 158. So, keep reading to learn more.
Given numbers are 478,793,924,158
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,793,924,158 is 13834712892.
Find LCM of 478,793,924,158 with Prime Factorization
| 2 | 478, 793, 924, 158 |
| 239, 793, 462, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 239 x 793 x 462 x 79 = 13834712892
Therefore, the lowest common multiple of 478,793,924,158 is 13834712892.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
478 x 793 x 924 x 158 = 55338851568
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
478 : 1, 2, 239, 478
793 : 1, 13, 61, 793
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
158 : 1, 2, 79, 158
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,793,924,158, is 1.
Now, the common factors can be found like this.
478:2x 239
793:13x 61
924:2x 2x 3x 7x 11
158:2x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 55338851568/(1x4)
LCM = 55338851568/4
LCM = 13834712892
Thus, we can understand that the LCM of 478,793,924,158 is 13834712892.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 478, 793, 924, 158
1. What is the LCM of 478, 793, 924, 158?
Answer: LCM of 478, 793, 924, 158 is 13834712892.
2. How to calculate the LCM of 478, 793, 924, 158?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 478, 793, 924, 158.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.